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Finding the Fourth Proportional to 505,276.92, 697,508.94 and 333,296.28

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Solution

The fourth proportional to 505,276.92, 697,508.94 and 333,296.28 is: 460,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,276.92 : 697,508.94 = 333,296.28 : x
  2. Step 2: Convert to fraction form
    505,276.92/697,508.94 = 333,296.28/x
  3. Step 3: Cross multiply
    505,276.92x = 697,508.94 × 333,296.28
  4. Step 4: Simplify right side
    505,276.92x = 232,477,134,968.74
  5. Step 5: Solve for x
    x = 232,477,134,968.74/505,276.92
  6. Step 6: Final answer
    x = 460,098.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.